In [1]}, the superprojectors in \(\mathcal {N}\) -extended Minkowski superspace were derived, and expressions for the corresponding higher-spin linearised super-Cotton tensors were given. The above argument may be replicated in a straightforward manner using the results of [1]}. The conclusion is that, in any conformally-flat superspace, a necessary and sufficient condition for a prepotential to be pure gauge is if its super-Cotton tensor vanishes.
